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Vertex intrinsic fitness: How to produce arbitrary scale-free networks

Servedio, Vito D. P. and Caldarelli, Guido and Buttà, Paolo Vertex intrinsic fitness: How to produce arbitrary scale-free networks. Physical Review E, 70 (5). ISSN 1539-3755 (2004)

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We study a recent model of random networks based on the presence of an intrinsic character of the vertices called fitness. The vertex fitnesses are drawn from a given probability distribution density. The edges between pairs of vertices are drawn according to a linking probability function depending on the fitnesses of the two vertices involved. We study here different choices for the probability distribution densities and the linking functions. We find that, irrespective of the particular choices, the generation of scale-free networks is straightforward. We then derive the general conditions under which scale-free behavior appears. This model could then represent a possible explanation for the ubiquity and robustness of such structures.

Item Type: Article
Identification Number: 10.1103/PhysRevE.70.056126
Uncontrolled Keywords: PACS: 89.75.Hc, 84.35.+i, 89.75.Da
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 14 Feb 2012 14:21
Last Modified: 20 Nov 2013 14:58
URI: http://eprints.imtlucca.it/id/eprint/1119

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